Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: Diffusive regime-Reference-Cited by-同舟云学术

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Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: Diffusive regime

Published:2024-08-01 Issue:3 Volume:60 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Cardoso Pedro¹,Gonçalves Patrícia¹,Jiménez-Oviedo Byron²

Affiliation:

1. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal

2. Escuela de Matemática, Faculdad de Ciencias Exactas y Naturales, Universidad Nacional de Costa Rica, Heredia, Costa Rica

Publisher

Institute of Mathematical Statistics

Reference14 articles.

1. C. Bernardin, P. Gonçalves and B. Jiménez-Oviedo. Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps. Markov Process. Related Fields 25 (2) (2019) 217–274.

2. H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Universitext. Springer, New York, 2011.

3. C. Kipnis and C. Landim. Scaling Limits of Interacting Particle Systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 320. Springer-Verlag, Berlin, 1999.

4. R. Baldasso, O. Menezes, A. Neumann and R. R. Souza. Exclusion process with slow boundary. J. Stat. Phys. 167 (5) (2017) 1112–1142.

5. C. Bernardin, P. Cardoso, P. Gonçalves and S. Scotta. Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion. Preprint, 2021. Available at arXiv:2007.01621.

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